346615945536 has 224 divisors, whose sum is σ = 1113550467840. Its totient is φ = 93033529344.

The previous prime is 346615945517. The next prime is 346615945537. The reversal of 346615945536 is 635549516643.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×346615945536² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346615945537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321936 + ... + 1562288.

Almost surely, 2^346615945536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346615945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556775233920).

346615945536 is an abundant number, since it is smaller than the sum of its proper divisors (766934522304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346615945536 is a wasteful number, since it uses less digits than its factorization.

346615945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240441 (or 240431 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 57.

The spelling of 346615945536 in words is "three hundred forty-six billion, six hundred fifteen million, nine hundred forty-five thousand, five hundred thirty-six".